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Finding the Fourth Proportional to 452.47, 624.41 and 265.96

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Solution

The fourth proportional to 452.47, 624.41 and 265.96 is: 367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.47 : 624.41 = 265.96 : x
  2. Step 2: Convert to fraction form
    452.47/624.41 = 265.96/x
  3. Step 3: Cross multiply
    452.47x = 624.41 × 265.96
  4. Step 4: Simplify right side
    452.47x = 166,068.08
  5. Step 5: Solve for x
    x = 166,068.08/452.47
  6. Step 6: Final answer
    x = 367.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.